A family of quasi-solvable quantum many-body systems

被引：3
|
作者：
Tanaka, T [1 ]
机构：
[1] Kyoto Univ, Fac Integrated Human Studies, Kyoto 6068501, Japan
来源：
PHYSICS LETTERS B | 2003年 / 567卷 / 1-2期
关键词：
quantum many-body problem; quasi-solvability; supersymmetry; Inozemtsev models; Calogero-Sutherland models;
D O I：
10.1016/S0370-2693(03)00866-9
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We construct a family of quasi-solvable quantum many-body systems by an algebraic method. The models contain up to two-body interactions and have permutation symmetry. We classify these models under the consideration of invariance property. It turns out that this family includes the rational, hyperbolic (trigonometric) and elliptic Inozemtsev models as particular cases. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：100 / 106
页数：7
相关论文
共 50 条
  • [21] SYNTHETIC QUANTUM MANY-BODY SYSTEMS
    Guerlin, C.
    Baumann, K.
    Brennecke, F.
    Greif, D.
    Joerdens, R.
    Leinss, S.
    Strohmaier, N.
    Tarruell, L.
    Uehlinger, T.
    Moritz, H.
    Esslinger, T.
    LASER SPECTROSCOPY, 2010, : 212 - 221
  • [22] ERGODICITY OF QUANTUM MANY-BODY SYSTEMS
    JANNER, A
    HELVETICA PHYSICA ACTA, 1963, 36 (02): : 155 - &
  • [23] Seniority in quantum many-body systems
    Van Isacker, P.
    SYMMETRIES IN NATURE, 2010, 1323 : 141 - 152
  • [24] Negentropy in Many-Body Quantum Systems
    Quarati, Piero
    Lissia, Marcello
    Scarfone, Antonio M.
    ENTROPY, 2016, 18 (02)
  • [25] Novel solvable many-body problems
    Bihun, Oksana
    Calogero, Francesco
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2016, 23 (02) : 190 - 212
  • [26] A Solvable Many-Body Problem in the Plane
    F. Calogero
    Journal of Nonlinear Mathematical Physics, 1998, 5 : 289 - 293
  • [27] Novel solvable many-body problems
    Oksana Bihun
    Francesco Calogero
    Journal of Nonlinear Mathematical Physics, 2016, 23 : 190 - 212
  • [28] A solvable many-body problem in the plane
    Calogero, F
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 1998, 5 (03) : 289 - 293
  • [29] Analytically solvable many-body Rosen-Zener quantum battery
    Guo, Wei-Xi
    Yang, Fang-Mei
    Dou, Fu-Quan
    PHYSICAL REVIEW A, 2024, 109 (03)
  • [30] Quantum trajectories and open many-body quantum systems
    Daley, Andrew J.
    ADVANCES IN PHYSICS, 2014, 63 (02) : 77 - 149
12345